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Finding the Fourth Proportional to 5,554, 7,664.60 and 3,070

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Solution

The fourth proportional to 5,554, 7,664.60 and 3,070 is: 4,236.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,554 : 7,664.60 = 3,070 : x
  2. Step 2: Convert to fraction form
    5,554/7,664.60 = 3,070/x
  3. Step 3: Cross multiply
    5,554x = 7,664.60 × 3,070
  4. Step 4: Simplify right side
    5,554x = 23,530,322
  5. Step 5: Solve for x
    x = 23,530,322/5,554
  6. Step 6: Final answer
    x = 4,236.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.